An Application of the Stiefel–Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings
Volume 53 / 2005
Bulletin Polish Acad. Sci. Math. 53 (2005), 181-186
MSC: 55M20, 55R25, 54C60.
DOI: 10.4064/ba53-2-7
Abstract
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel–Whitney classes.
